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प्रश्न
Solve for x: `3x^2-2sqrt6x+2=0`
उत्तर
The given quadratic equation is `3x^2-2sqrt6x+2=0`
Comparing with the quadratic equation ax2 + bx + c = 0, we have
`a=3,b=-2sqrt6` and `c=2`
Discriminant of the given quadratic equation,
`D=b^2-4ac=(2sqrt6)^2-4xx3xx2=24-24=0`
`therefore x=((-2sqrt6)^2+-sqrt0)/(2xx3)` `therefore x=(-b+-sqrtD)/(2a)`
`rArr x=2sqrt6/6`
`rArrx=sqrt6/3`
Thus, the solution of the given quadratic equation is `x=sqrt6/3`.
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Solution:
We need one of the solutions of the quadratic equation as 5.
Then we can take another root as any number like a positive or negative number or zero. Here I am taking another root of the quadratic equation as 2.
Then we can form a word problem as below,
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